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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Message
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| ``Re: f(1)=1 dangerous''
by igor on 2003-11-20 20:30:15 |
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| Axel wrote:
> I think there are two ways out of the predicament: some
> books simply require all rings to have a one, and all ring
> homomorphisms to respect it. Then there are no problems and
> rings and their homomorphisms form a category. Of course,
> sometimes you may want to talk about rings without 1. One
> could introduce a new name for them ("Z-algebras?"), and
> Z-algebras together with their homomorphisms then also form
> a category.
I'm certainly not an expert, but I have seen the terminology
"rng" for a rIng without an Identity. I think my source for this
is Jacobson's "Abstract Algebra" in two volumes.
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